Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (3): 213-218.

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THE SPECTRAL PROBLEM OF POISEUILLE FLOW

董明德   

  1. Institute of Theoretical Physics Academia Sinica, Beijing
  • 收稿日期:1983-08-04 出版日期:1985-03-18 发布日期:1985-03-18

THE SPECTRAL PROBLEM OF POISEUILLE FLOW

Dong Ming-de   

  1. Institute of Theoretical Physics Academia Sinica, Beijing
  • Received:1983-08-04 Online:1985-03-18 Published:1985-03-18

摘要: For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be discussed subsequently.

关键词: Navier solution, functionally graded material (FGM), sandwich plate, refined plate theory (RPT), free vibration

Abstract: For Poiseuille flow the Orr-Sommerfeld equation is solved exactly. Regular solutions are obtained, thereby eigenvalue equation can be analyzed analytically and explicitly. The bifurcation solutions will be discussed subsequently.

Key words: functionally graded material (FGM), sandwich plate, refined plate theory (RPT), free vibration, Navier solution

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